Part 2:   群表示论的基本概念和Abel群的表示

Math Online Tom Circle

[引言 : Part 1 温习]

第一课:映射(f) 集合A,B


$latex f: A to B$
$latex f: a mapsto b , a in A, b in B$
$latex f(A) = { f(a) | a in A } subseteq B$ (f的值域, Im f)

A : 象域 domain:
B : 陪域 co-domain: 唯一
满射 Surjective, 单射 Injective , 双射 Bijective

第二课: 线性空间, 线性变化, 同态

Projection 投影 $latex P_{U} implies $ 线性变化

$latex V = U oplus W$ , W non-unique

$latex V = U oplus U^{perp}$

北大 丘维声的 “群论” List of All Videos:http://www.youtube.com/playlist?list=PLwzFfIxhEkcxvU7-c8rPBbPLHUeacPIpa

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